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Question about "or" rules from the trainer (page 197)

amipp_93amipp_93 Alum Member
in General 585 karma
I don't see how "H will go before G if and only if H is after F" translates to

G-H-F as one of the two possibilities.

(The second one was: F-H-G and I understand this)

Halp plz!

Comments

  • beth.flandersbeth.flanders Alum Member
    212 karma
    There are in essence only two choices, go before or go after. If the go before fails that is the equivalent to go after. Conversely, if the go after fails, then that is equivalent to go before.

    So, in event that H is not after F, the condition H before G fails. Since it failed, H must go after G or said conversely, G must go before H. Thus G-H-F.
  • c.janson35c.janson35 Free Trial Inactive Sage Inactive ⭐
    2398 karma
    H-G<---->F-H

    So when H-G triggers, then it must also be true that F-H triggers. So we have F-H and H-G, which means F-H-G.

    But what about the contrapositive? The CP of a biconditional is just the negation of both sides. So,

    /H-G<--->/F-H

    But what does it mean if H is not before G? That G is before H!
    So, G-H

    And what does it mean that F is not before H? That H is before F!
    H-F

    Combining these two we have:
    G-H-F.

    Hope this helps!
  • amipp_93amipp_93 Alum Member
    585 karma
    @c.janson35 YAS that was crystal clear. Thank you so much!
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